Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
2	instantiation	34, 6, 28	⊢
	: , : , :
3	instantiation	34, 9, 7	⊢
	: , : , :
4	instantiation	34, 9, 8	⊢
	: , : , :
5	instantiation	34, 9, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	instantiation	34, 12, 11	⊢
	: , : , :
8	instantiation	34, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
10	instantiation	34, 14, 15	⊢
	: , : , :
11	instantiation	34, 17, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
13	instantiation	34, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
15	instantiation	19, 20, 21	⊢
	:
16	instantiation	34, 23, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
18	instantiation	34, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
20	instantiation	25, 27, 28, 29	⊢
	: , : , :
21	instantiation	26, 27, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
28	instantiation	34, 30, 31	⊢
	: , : , :
29	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	34, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1